48384720 has 240 divisors, whose sum is σ = 177577920. Its totient is φ = 11759616.

The previous prime is 48384691. The next prime is 48384727. The reversal of 48384720 is 2748384.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×48384720² = 4682162258956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48384727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722127 + ... + 722193.

It is an arithmetic number, because the mean of its divisors is an integer number (739908).

Almost surely, 2^48384720 is an apocalyptic number.

48384720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48384720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

48384720 is an abundant number, since it is smaller than the sum of its proper divisors (129193200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48384720 is a wasteful number, since it uses less digits than its factorization.

48384720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48384720 is about 6955.9125928953. The cubic root of 48384720 is about 364.3924841095.

The spelling of 48384720 in words is "forty-eight million, three hundred eighty-four thousand, seven hundred twenty".